{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:SUNI5ZJWWV4JQGVCJTPPQNRHVB","short_pith_number":"pith:SUNI5ZJW","schema_version":"1.0","canonical_sha256":"951a8ee536b578981aa24cdef83627a84169b14c7b259c35b45150376bbc8abd","source":{"kind":"arxiv","id":"1507.07145","version":1},"attestation_state":"computed","paper":{"title":"Nearly convex sets: fine properties and domains or ranges of subdifferentials of convex functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Sarah M. Moffat, Walaa M. Moursi, Xianfu Wang","submitted_at":"2015-07-25T22:52:50Z","abstract_excerpt":"Nearly convex sets play important roles in convex analysis, optimization and theory of monotone operators. We give a systematic study of nearly convex sets, and construct examples of subdifferentials of lower semicontinuous convex functions whose domain or ranges are nonconvex."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1507.07145","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-25T22:52:50Z","cross_cats_sorted":[],"title_canon_sha256":"6a2839b7c175784afdf2588bffb4cd4f37b407202395029b67a9ddb7222f1844","abstract_canon_sha256":"dadf1b626205510d55469a067efc086c9a0dcfab286d8468e93c8fcf582eecff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:17.110690Z","signature_b64":"mXMdd4LFOyde+6wBPdb1go2J0sUCKCbGm6p8ysZ1oyGAILcjtOfsJ8qQwuSvJ4fvzcAY7ZUdi2qTiJhizV+/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"951a8ee536b578981aa24cdef83627a84169b14c7b259c35b45150376bbc8abd","last_reissued_at":"2026-05-18T01:36:17.110188Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:17.110188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nearly convex sets: fine properties and domains or ranges of subdifferentials of convex functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Sarah M. Moffat, Walaa M. Moursi, Xianfu Wang","submitted_at":"2015-07-25T22:52:50Z","abstract_excerpt":"Nearly convex sets play important roles in convex analysis, optimization and theory of monotone operators. We give a systematic study of nearly convex sets, and construct examples of subdifferentials of lower semicontinuous convex functions whose domain or ranges are nonconvex."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07145","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1507.07145","created_at":"2026-05-18T01:36:17.110259+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.07145v1","created_at":"2026-05-18T01:36:17.110259+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07145","created_at":"2026-05-18T01:36:17.110259+00:00"},{"alias_kind":"pith_short_12","alias_value":"SUNI5ZJWWV4J","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"SUNI5ZJWWV4JQGVC","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"SUNI5ZJW","created_at":"2026-05-18T12:29:42.218222+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SUNI5ZJWWV4JQGVCJTPPQNRHVB","json":"https://pith.science/pith/SUNI5ZJWWV4JQGVCJTPPQNRHVB.json","graph_json":"https://pith.science/api/pith-number/SUNI5ZJWWV4JQGVCJTPPQNRHVB/graph.json","events_json":"https://pith.science/api/pith-number/SUNI5ZJWWV4JQGVCJTPPQNRHVB/events.json","paper":"https://pith.science/paper/SUNI5ZJW"},"agent_actions":{"view_html":"https://pith.science/pith/SUNI5ZJWWV4JQGVCJTPPQNRHVB","download_json":"https://pith.science/pith/SUNI5ZJWWV4JQGVCJTPPQNRHVB.json","view_paper":"https://pith.science/paper/SUNI5ZJW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.07145&json=true","fetch_graph":"https://pith.science/api/pith-number/SUNI5ZJWWV4JQGVCJTPPQNRHVB/graph.json","fetch_events":"https://pith.science/api/pith-number/SUNI5ZJWWV4JQGVCJTPPQNRHVB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SUNI5ZJWWV4JQGVCJTPPQNRHVB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SUNI5ZJWWV4JQGVCJTPPQNRHVB/action/storage_attestation","attest_author":"https://pith.science/pith/SUNI5ZJWWV4JQGVCJTPPQNRHVB/action/author_attestation","sign_citation":"https://pith.science/pith/SUNI5ZJWWV4JQGVCJTPPQNRHVB/action/citation_signature","submit_replication":"https://pith.science/pith/SUNI5ZJWWV4JQGVCJTPPQNRHVB/action/replication_record"}},"created_at":"2026-05-18T01:36:17.110259+00:00","updated_at":"2026-05-18T01:36:17.110259+00:00"}